Answer:
The system has no solution
Step-by-step explanation:
we have
[tex]y=3x+2[/tex] ----> equation A
[tex]3y-9x=-6[/tex]
isolate the variable y
[tex]3y=9x-6[/tex]
Divide by 3 both sides
[tex]y=3x-2[/tex] ----> equation B
Compare equation A and equation B
Their slopes are equal and their y-intercepts are different
Remember that
If two lines have the same slope, then the lines are parallel
In this problem we have two different parallel lines, so, the lines don't intercept
therefore
The system has no solution
